80417730624 has 504 divisors, whose sum is σ = 278853924384. Its totient is φ = 20366438400.

The previous prime is 80417730487. The next prime is 80417730683. The reversal of 80417730624 is 42603771408.

It is a super-2 number, since 2×80417730624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46672227 + ... + 46673949.

It is an arithmetic number, because the mean of its divisors is an integer number (553281596).

Almost surely, 2^80417730624 is an apocalyptic number.

80417730624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80417730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426962192).

80417730624 is an abundant number, since it is smaller than the sum of its proper divisors (198436193760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80417730624 is a wasteful number, since it uses less digits than its factorization.

80417730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 80417730624 in words is "eighty billion, four hundred seventeen million, seven hundred thirty thousand, six hundred twenty-four".